14 citations · 30 across the 15 of their papers we have counts for
8 papers · 1 filter
The Borel transform and linear nonlocal equations: applications to zeta-nonlocal field models
Alan Chávez, Humberto Prado, Enríque G. Reyes
We define rigorously operators of the form , in which is an analytic function on a simply connected domain. Our formalism is based on the Borel transform on enti…
On the Cauchy problem for a Kadomtsev-Petviashvili hierarchy on non-formal operators and its relation with a group of diffeomorphisms
Jean-Pierre Magnot, Enrique G. Reyes
We establish a rigorous link between infinite-dimensional regular Frölicher Lie groups built out of non-formal pseudodifferential operators and the Kadomtsev-Petviashvili hierarchy…
A Laplace transform approach to linear equations with infinitely many derivatives and zeta-nonlocal field equations
Alan Chavez, Humberto Prado, Enrique G. Reyes
We study existence, uniqueness and regularity of solutions for linear equations in infinitely many derivatives. We develop a natural framework based on Laplace transform as a corre…
Well-posedness of the Kadomtsev-Petviashvili hierarchy, Mulase factorization, and Frölicher Lie groups
Jean-Pierre Magnot, Enrique G. Reyes
We recall the notions of Frölicher and diffeological spaces and we build regular Frölicher Lie groups and Lie algebras of formal pseudo-differential operators in one independent va…
From Hopf fibrations to exotic causal replacements
Miguel Bezares, Érico Goulart, Gonzalo Palomera +2
Topological solitons are relevant in several areas of physics [1]. Recently, these configurations have been investigated in contexts as diverse as hydrodynamics [2], Bose-Einstein…
On linear differential equations with infinitely many derivatives
Marcus Carlsson, Humberto Prado, Enrique G. Reyes
Differential equations with infinitely many derivatives, sometimes also referred to as ``nonlocal'' differential equations, appear frequently in branches of modern physics such as…